<< Chapter < Page Chapter >> Page >

Some phrases and sentences do not translate directly. We must be careful to read them properly. The word from often appears in such phrases and sentences. The word from means "a point of departure for motion." The following translation will illustrate this use.

The translation of a verbal expressions 'Fifteen is subtracted from some quantity' into mathematical expressions is x minus fifteen.

The word from indicates the motion (subtraction) is to begin at the point of "some quantity."

Got questions? Get instant answers now!

Eight less than some quantity. Notice that less than could be replaced with from .
x 8

Got questions? Get instant answers now!

Practice set b

Translate the following phrases and sentences into mathematical expressions or equations.

A number divided by sixteen, plus one, is five.

x 16 + 1 = 5

Got questions? Get instant answers now!

Seven times two more than a number is twenty-one.

7 ( 2 + x ) = 21

Got questions? Get instant answers now!

A number divided by two more than itself is zero.

x 2 + x = 0

Got questions? Get instant answers now!

A number minus five is divided by twice the number plus three and the result is seventeen.

x 5 2 x + 3 = 17

Got questions? Get instant answers now!

Fifty-two is subtracted from some quantity.

x 52

Got questions? Get instant answers now!

An unknown quantity is subtracted from eleven and the result is five less than the unknown quantity.

11 x = x 5

Got questions? Get instant answers now!

Exercises

For the following problems, translate the following phrases or sentences into mathematical expressions or equations.

A quantity less four.

a 4

Got questions? Get instant answers now!

Eight more than a number.

Got questions? Get instant answers now!

A number plus seven.

b + 7

Got questions? Get instant answers now!

Negative five plus an unknown quantity.

5 + c

Got questions? Get instant answers now!

Negative sixteen minus some quantity.

Got questions? Get instant answers now!

Fourteen added to twice a number.

2 d + 14

Got questions? Get instant answers now!

Ten added to three times some number.

Got questions? Get instant answers now!

One third minus an unknown quantity.

1 3 e

Got questions? Get instant answers now!

Twice a number is eleven.

Got questions? Get instant answers now!

Four ninths of a number is twenty-one.

4 9 f = 21

Got questions? Get instant answers now!

One third of a number is two fifths.

Got questions? Get instant answers now!

Three times a number is nine more than twice the number.

3 g = 2 g + 9

Got questions? Get instant answers now!

Five times a number is that number minus two.

Got questions? Get instant answers now!

Twice a number added to six results in thirty.

2 h + 6 = 30

Got questions? Get instant answers now!

Ten times a number less four results in sixty-six.

Got questions? Get instant answers now!

A number less twenty-five is equal to 3.019 .

k 25 = 3.019

Got questions? Get instant answers now!

Seven more than some number is five more than twice the number.

Got questions? Get instant answers now!

When a number is divided by four, the result is sixty-eight.

m 4 = 68

Got questions? Get instant answers now!

Eleven fifteenths of two more than a number is eight.

Got questions? Get instant answers now!

One tenth of a number is that number less one.

n 10 = n 1

Got questions? Get instant answers now!

Two more than twice a number is one half the number less three.

Got questions? Get instant answers now!

A number is equal to itself plus four times itself.

x = x + 4 x

Got questions? Get instant answers now!

Three fifths of a quantity added to the quantity itself is thirty-nine.

Got questions? Get instant answers now!

A number plus seven is divided by two and the result is twenty-two.

Q + 7 2 = 22

Got questions? Get instant answers now!

Ten times a number minus one is divided by fourteen and the result is one.

Got questions? Get instant answers now!

A number is added to itself then divided by three. This result is then divided by three. The entire result is fifteen.

r + r 3 3 = 15

Got questions? Get instant answers now!

Ten divided by two more than a number is twenty-one.

Got questions? Get instant answers now!

Five divided by a number plus six is fourteen.

5 s + 6 = 14

Got questions? Get instant answers now!

Twelve divided by twice a number is fifty-five.

Got questions? Get instant answers now!

Twenty divided by eight times a number added to one is nine.

20 8 x + 1 = 9

Got questions? Get instant answers now!

A number divided by itself, plus one, results in seven.

Got questions? Get instant answers now!

A number divided by ten, plus four, results in twenty-four.

v 10 + 4 = 24

Got questions? Get instant answers now!

A number plus six, divided by two, is seventy-one.

Got questions? Get instant answers now!

A number plus six, divided by two, plus five, is forty-three.

w + 6 2 + 5 = 43

Got questions? Get instant answers now!

A number multiplied by itself added to five is thirty-one.

Got questions? Get instant answers now!

A quantity multiplied by seven plus twice itself is ninety.

7 y + 2 y = 90

Got questions? Get instant answers now!

A number is increased by one and then multiplied by five times itself. The result is eighty-four.

Got questions? Get instant answers now!

A number is added to six and that result is multiplied by thirteen. This result is then divided by six times the number. The entire result is equal to fifty-nine.

( z + 16 ) 13 6 z = 59

Got questions? Get instant answers now!

A number is subtracted from ten and that result is multiplied by four. This result is then divided by three more than the number. The entire result is equal to six.

Got questions? Get instant answers now!

An unknown quantity is decreased by eleven. This result is then divided by fifteen. Now, one is subtracted from this result and five is obtained.

x 11 15 1 = 5

Got questions? Get instant answers now!

Ten less than some number.

Got questions? Get instant answers now!

Five less than some unknown number.

n 5

Got questions? Get instant answers now!

Twelve less than a number.

Got questions? Get instant answers now!

One less than an unknown quantity.

m 1

Got questions? Get instant answers now!

Sixteen less than some number is forty-two.

Got questions? Get instant answers now!

Eight less than some unknown number is three.

p 8 = 3

Got questions? Get instant answers now!

Seven is added to ten less than some number. The result is one.

Got questions? Get instant answers now!

Twenty-three is divided by two less than twice some number and the result is thirty-four.

23 2 n 2 = 34

Got questions? Get instant answers now!

One less than some number is multiplied by three less than five times the number and the entire result is divided by six less than the number. The result is twenty-seven less than eleven times the number.

Got questions? Get instant answers now!

Exercises for review

( [link] ) Supply the missing word. The point on a line that is associated with a particular number is called the of that number.

graph

Got questions? Get instant answers now!

( [link] ) Supply the missing word. An exponent records the number of identical in a multiplication.

Got questions? Get instant answers now!

( [link] ) Write the algebraic definition of the absolute value of the number a .

| a | = { a , i f a 0 a , i f a < 0

Got questions? Get instant answers now!

( [link] ) Solve the equation 4 y + 5 = 3 .

Got questions? Get instant answers now!

( [link] ) Solve the equation 2 ( 3 x + 1 ) 5 x = 4 ( x 6 ) + 17 .

x = 3

Got questions? Get instant answers now!

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask